How to get more than 20 decimal places?

  • Thread starter Roll Tide
  • Start date
In summary, to increase the precision of calculations to more than 20 decimal places, one can use a computer program or specialized formula. It is highly unlikely to achieve this level of precision without these tools, and there is a limit to the number of decimal places that can be accurately calculated due to the limitations of computers and calculators. Factors such as computational power, algorithm precision, and number size can affect the maximum number of decimal places. While there are real-world applications where high-precision calculations are necessary, for most everyday calculations, 20 decimal places is sufficient.
  • #1
Roll Tide
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I need more that 20 decimal places. I think the Google calculator fails after about 15 places. Any suggestions?
 
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  • #2
Go to Wolfram Alpha http://www.wolframalpha.com Say you want the value of 3/7 to 100 digits. Type in:

N[3/7,100]

or pi to 1000 digits:

N[pi,1000]

You get the idea.
 
  • #4
google 'arbitrary precision calculator'
 
  • #5


There are a few ways to get more than 20 decimal places in calculations. One option is to use a specialized calculator or software that is designed for high precision calculations, such as Mathematica or MATLAB. These programs allow for a higher number of decimal places to be displayed and calculated.

Another option is to use a scientific calculator that has a "precision" or "decimal places" setting. By adjusting this setting, you can increase the number of decimal places displayed in your calculations.

Additionally, you can use scientific notation to represent numbers with more than 20 decimal places. For example, instead of writing 0.00000000000000000001, you can write 1x10^-19, which allows for more precision in calculations.

It is also important to keep in mind that the limitations of decimal places may be due to the accuracy of the input values rather than the calculator itself. Double-checking the accuracy of your inputs and using more precise values can also help achieve more than 20 decimal places in calculations.

Overall, utilizing specialized software or settings, using scientific notation, and ensuring accuracy in input values can help achieve more than 20 decimal places in calculations.
 

1. How can I increase the precision of my calculations to get more than 20 decimal places?

One way to increase precision is to use a computer program or calculator that allows for a higher number of decimal places. You can also use a mathematical formula or algorithm specifically designed for high-precision calculations.

2. Is it possible to get more than 20 decimal places without using a computer or special formula?

It is highly unlikely to achieve more than 20 decimal places without using a computer or specialized formula. This is because most calculations involve rounding at some point, which can lead to a loss of precision.

3. Can the number of decimal places be increased indefinitely?

No, there is a limit to the number of decimal places that can be accurately calculated. This is due to the way computers and calculators store and process numbers. Eventually, the numbers will become too small or too large to be accurately represented.

4. What factors affect the maximum number of decimal places that can be obtained?

The maximum number of decimal places is affected by the computational power of the device or software used, the precision of the mathematical algorithm, and the size of the numbers being calculated. Additionally, rounding errors and floating-point limitations can also impact the precision.

5. Are there any real-world applications where more than 20 decimal places are necessary?

Yes, there are certain fields, such as physics, astronomy, and finance, where high-precision calculations are necessary. In these cases, even small differences in decimal places can have significant impacts on the results. However, for most everyday calculations, 20 decimal places is more than enough precision.

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